Re: A simple undiagonalisable list - ILLUSTRATED



George wrote
>HERC777 wrote:
>> i.e. the property should hold for all
>> permutations of elements of the
>> list.
>
>Well, it doesn't.


Given any list using elements only from k/9, 0<=k<=9

e.g.

0.44444444..
0.66666666..
0.22222222..
0.88888888..
0.11111111..
...


for the purpose of creating an antidiagonal number not on the list, any
diagonal can be digit shuffled.

e.g. DIAG:0.46281.. <=> DIAG:0.12468..


FURTHERMORE, if the class of set/list used has the property the list
contains ALL reals from k/9,

*** THE DIAGONAL DOES NOT GIVE _ANY_ INFORMATION ABOUT THE LIST ***

Herc

.



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